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For what value of lamda the system of equations x+y+z=6, 4x+lamda y-lamda z=0, 3x+2y-4z=-5 deos not possess a solution? |
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Answer» Solution :Let `Delta=[[1,1,1],[4,LAMDA,-lamda],[3,2,-4]]` `[[0,0,1],[4-lamda,2lamda,-lamda],[1,6,-4]]` (`C_1=C_2-C_1` `C_2=C_2-C_3`) =`1[[4-lamda,2lamda],[1,6]]` =`24-6lamda-2lamda=24-8lamda` We have `24-8lamda=0` or, `lamda=3` `therefore` The system of EQUATION does not POSSES solution for `lamda=3`. |
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